Finding the Fourth Proportional to 3,667.64, 5,494.12 and 2,205.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.64 : 5,494.12 = 2,205.98 : x
2. Step 2: Convert to fraction form
   3,667.64/5,494.12 = 2,205.98/x
3. Step 3: Cross multiply
   3,667.64x = 5,494.12 × 2,205.98
4. Step 4: Simplify right side
   3,667.64x = 12,119,918.84
5. Step 5: Solve for x
   x = 12,119,918.84/3,667.64
6. Step 6: Final answer
   x = 3,304.56